Simulation-based lateral transshipment policy optimization for s, S inventory control problem in a single-echelon supply chain network

Banu Yetkin Ekren, Bartu Arslan


Since it affects the performance of whole supply chain significantly, definition of correct inventory control policy in a supply chain is critical. Recent technological development enabled real time visibility of a supply network by horizontal integration of each node in a supply network. By this opportunity, inventory sharing among stocking locations is also possible in the effort of cost minimization in supply chain management.  Hence, lateral transshipment gained popularity and studies seeking the best lateral-transshipment policy is still under research. In this study, we aim to compare different lateral-transshipment policies for an s, S inventory control problem for a single-echelon supply chain network system. In this work, we consider a supply network with three stocking locations which may perform lateral transshipment among them when backorder takes place. We develop the simulation models of the systems in ARENA 14.5 commercial software and compare the performance of the policies by minimizing the total cost under a pre-defined fill rate constraint by using an optimization tool, OptQuest, integrated in that software. The results show that lateral transshipment works well compared to the scenario when there is no lateral transshipment policy in the network.


inventory; s, S inventory; simulation; lateral-transshipment; 90B05, 90B15, 90B50

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Cachon, G., & Terwiesch, C. (2006). Matching supply with demand. McGraw-Hill, Inc.

Arrow, K. J., Harris, T., & Marschak, J. (1951). Optimal Inventory Policy. Econometrica,19(3), 250-272.

Waller, M., Williams, B.D., & Tokar, T. (2008). A Review of Inventory Management Research in Major Logistics Journals: Themes and Future Directions. The International Journal of Logistics Management, 19(2), 212–232

Bushuev, M.A., Guiffrida, A., Jaber, M.Y., & Khan, M. (2015). A Review of Inventory Lot Sizing Review Papers. Management Research Review, 38(3), 283–298.

Paterson, C., Kiesmuller, G., Teunter, R., & Glazebrook, K. (2011). Inventory models with lateral transshipments: A review. European Journal of Operational Research, 210(2), 125–136.

Pan, S., Nigrelli, M., Ballot, E., Sarraj, R., & Yang, Y. (2015). Perspectives of Inventory Control Models in the Physical Internet: A Simulation Study. Computers & Industrial Engineering, 84, 122–132.

Yang, Y., Pan, S., & Ballot, E. (2015). Mitigating supply chain disruptions through interconnected logistics services in the Physical Internet International. Journal of Production Research, 55(14), 3970–3983.

Bertazzi, L., & Speranza, M.G. (2012). Inventory Routing Problems: An Introduction. EURO Journal on Transportation and Logistics, 1(4), 307–326

Ozdemir D., Yucesan, E., & Herer, Y.T. (2006). Multi-location transshipment problem with capacitated transportation. European Journal of Operational Research, 175, 602-621.

Ekren, B.Y. & Heragu, S.S. (2008). Simulation Based Optimization of Multi-Location Transshipment Problem with Capacitated Transportation. In Proceedings of the 2008 Winter Simulation Conference, edited by S. J. Mason et al., 2632–2638. Piscataway, New Jersey: IEEE.

Allen, S.C. (1958). Redistribution of total stock over several user locations. Naval Research Logistics Quarterly, 5(4), 337-345.

Seidscher, A., & Minner, S. (2013). A Semi-Markov decision problem for proactive and reactive transshipments between multiple warehouses. European Journal of Operational Research, 230(1), 42–52.

Krishnan, K., & Rao, V. (1965). Inventory control in N warehouses. Journal of Industrial Engineering, 16, 212–215.

Robinson, L.W. (1990). Optimal and approximate policies in multiperiod, multilocation inventory models with transshipments. Operations Research, 38(2), 278–295.

Olsson, F. (2010). An inventory model with unidirectional lateral transshipments. European Journal of Operational Research, 200(3), 725-732.

Diks, E.B., & de Kok, A.G. (1996). Controlling a divergent 2-echelon network with transshipments using the consistent appropriate share rationing policy. International Journal of Production Economics, 45(1–3), 369–379.

Diks, E.B., & de Kok, A.G. (1998). Optimal control of a divergent multi-echelon inventory system. European Journal of Operational Research, 111(1), 75–97.

Tagaras, G., & Vlachos, D. (2002). Effectiveness of stock transshipment under various demand distributions and nonnegligible transshipment times. Production and Operations Management, 11(2), 183–198.

Axsäter, S. (2003). A New Decision Rule for Lateral Transshipments in Inventory Systems. Management Science, 49(9), 1168-1179.

Capar, I., Eksioglu, B. & Geunes, J. (2011). A decision rule for coordination of inventory and transportation in a two-stage supply chain with alternative supply sources. Computers & Operations Research, 38(12), 1696–1704.

Tiacci, L., & Saetta, S. (2011). A heuristic for balancing the inventory level of different locations through lateral shipments. International Journal of Production Economics,131(1), 87-95.

Paterson, C., Teunter, R. & Glazebrook, K. (2012). Enhanced lateral transshipments in a multi-location inventory system. European Journal of Operational Research, 221(2), 317–327.

Arrow, K.J., Harris, T., & Marschak, J. (1951). Optimal Inventory Policy. Econometrica, 9(3), 250-272.

Freeman R. (1957). S s Inventory Policy with Variable Delivery Time. Management Science, 3(4), 431-434.

Axsäter, S. (2015). Inventory Control. International Series in Operations Research & Management Science. Springer International Publishing, 3rd Ed., Switzerland.

Bashyam, S., & Fu, M.C. (1998). Optimization of (s, S) Inventory Systems with Random Lead Times and a Service Level Constraint. Management Science, 44(12), part-2, 243-256.

Sethi, S., & Cheng, F. (1997). Optimality of (s, S) Policies in Inventory Models with Markovian Demand. Operations Research, 45(6), 931-939.

Silver E.A., Pyke D.F., & Peterson R. (1998). Inventory management and production planning and scheduling. New York: Wiley.

Ekren, B.Y. & Ornek, A. (2015). Determining Optimum (s, S) Levels of Floor Stock Items in a Paint Production Environment. Simulation Modelling Practice and Theory, 57, 133-141.

Kleijnen, J.P.C., & Wan, J. (2007). Optimization of simulated systems: OptQuest and alternatives. Simulation Modelling Practice and Theory, 15(3), 354-362.



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